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Data-driven offline model-based optimization (MBO) is an established practical approach to black-box computational design problems for which the true objective function is unknown and expensive to query. However, the standard approach which…

Machine Learning · Computer Science 2023-04-03 Sathvik Kolli

We address the optimization problem of simultaneously minimizing multiple objective functionals over a family of probability distributions. This type of Multi-Objective Distributional Optimization commonly arises in machine learning and…

Machine Learning · Computer Science 2025-05-27 Dai Hai Nguyen , Hiroshi Mamitsuka , Atsuyoshi Nakamura

Limiting failures of machine learning systems is of paramount importance for safety-critical applications. In order to improve the robustness of machine learning systems, Distributionally Robust Optimization (DRO) has been proposed as a…

Multivariate time series imputation is often compromised by mismatch between the observed and true data distributions, a bias induced by the combined effects of time-series non-stationarity and systematic missingness. Standard methods that…

Machine Learning · Statistics 2026-05-07 Che-Yi Liao , Zheng Dong , Gian-Gabriel Garcia , Kamran Paynabar

Bayesian Optimization (BO) is a powerful tool for optimizing expensive black-box objective functions. While extensive research has been conducted on the single-objective optimization problem, the multi-objective optimization problem remains…

Machine Learning · Computer Science 2025-10-27 Lam Ngo , Huong Ha , Jeffrey Chan , Hongyu Zhang

An emerging optimisation problem from the real-world applications, named the multi-point dynamic aggregation (MPDA) problem, has become one of the active research topics of the multi-robot system. This paper focuses on a multi-objective…

Neural and Evolutionary Computing · Computer Science 2021-05-12 Guanqiang Gao , Bin Xin , Yi Mei , Shuxin Ding , Juan Li

We develop and analyze algorithms for distributionally robust optimization (DRO) of convex losses. In particular, we consider group-structured and bounded $f$-divergence uncertainty sets. Our approach relies on an accelerated method that…

Optimization and Control · Mathematics 2022-03-25 Yair Carmon , Danielle Hausler

Distributionally Robust Optimization (DRO) provides a framework for decision-making under distributional uncertainty, yet its effectiveness can be compromised by outliers in the training data. This paper introduces a principled approach to…

Machine Learning · Computer Science 2025-11-04 Shuyao Li , Ilias Diakonikolas , Jelena Diakonikolas

Distributionally robust optimization (DRO) is a powerful technique to train robust models against data distribution shift. This paper aims to solve regularized nonconvex DRO problems, where the uncertainty set is modeled by a so-called…

Optimization and Control · Mathematics 2025-06-30 Yufeng Yang , Yi Zhou , Zhaosong Lu

In recommender systems, a common problem is the presence of various biases in the collected data, which deteriorates the generalization ability of the recommendation models and leads to inaccurate predictions. Doubly robust (DR) learning…

Information Retrieval · Computer Science 2022-12-20 Haoxuan Li , Quanyu Dai , Yuru Li , Yan Lyu , Zhenhua Dong , Xiao-Hua Zhou , Peng Wu

Group Relative Policy Optimization (GRPO) has been shown to be an effective algorithm when an accurate reward model is available. However, such a highly reliable reward model is not available in many real-world tasks. In this paper, we…

Machine Learning · Computer Science 2026-01-12 Yuki Ichihara , Yuu Jinnai , Tetsuro Morimura , Mitsuki Sakamoto , Ryota Mitsuhashi , Eiji Uchibe

Sampling from an unnormalized target distribution is an essential problem with many applications in probabilistic inference. Stein Variational Gradient Descent (SVGD) has been shown to be a powerful method that iteratively updates a set of…

Machine Learning · Computer Science 2023-02-13 Hoang Phan , Ngoc Tran , Trung Le , Toan Tran , Nhat Ho , Dinh Phung

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

Optimization and Control · Mathematics 2023-09-06 Xunhao Wu , Jun Fu

In recent years, there has been a growing research interest in decision-focused learning, which embeds optimization problems as a layer in learning pipelines and demonstrates a superior performance than the prediction-focused approach.…

Optimization and Control · Mathematics 2024-06-25 Xutao Ma , Chao Ning , Wenli Du

Real-world deployments routinely face distribution shifts, group imbalances, and adversarial perturbations, under which the traditional Empirical Risk Minimization (ERM) framework can degrade severely. Distributionally Robust Optimization…

Machine Learning · Computer Science 2026-02-19 Difei Xu , Meng Ding , Zebin Ma , Huanyi Xie , Youming Tao , Aicha Slaitane , Di Wang

Learning-enabled control systems increasingly rely on multiple sensing modalities (e.g., vision, audio, language, etc.) for perception and decision support. A key challenge is that multi-modal sensor training dynamics are often imbalanced:…

Machine Learning · Computer Science 2026-04-01 Heshan Fernando , Quan Xiao , Parikshit Ram , Yi Zhou , Horst Samulowitz , Nathalie Baracaldo , Tianyi Chen

In multi-objective optimization, minimizing the worst objective can be preferable to minimizing the average objective, as this ensures improved fairness across objectives. Due to the non-smooth nature of the resultant min-max optimization…

Optimization and Control · Mathematics 2025-04-07 Sangwoo Park , Stefan Vlaski , Lajos Hanzo

In offline data-driven multi-objective optimization (MOO), optimization is performed using surrogate models trained only on an offline dataset. These surrogate models contain inherent errors and uncertainty. This epistemic uncertainty can…

Neural and Evolutionary Computing · Computer Science 2026-04-30 Huanbo Lyu , Miqing Li , Shiqiao Zhou , Daniel Herring , Jelena Ninic , Zheming Zuo , Lingfeng Wang , James Andrews , Fabian Spill , Shuo Wang

In supply chain management, decision-making often involves balancing multiple conflicting objectives, such as cost reduction, service level improvement, and environmental sustainability. Traditional multi-objective optimization methods,…

Artificial Intelligence · Computer Science 2025-09-09 Niki Kotecha , Ehecatl Antonio del Rio Chanona

We study a class of optimization problems in which the objective function is given by the sum of a differentiable but possibly nonconvex component and a nondifferentiable convex regularization term. We introduce an auxiliary variable to…

Optimization and Control · Mathematics 2019-08-27 Neil K. Dhingra , Sei Zhen Khong , Mihailo R. Jovanović
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